Question

what is the exact volume of a sphere with diameter 12 meters? do not round π. enter your answer in the box. v = m³

Explanation:

Step1: Find the radius

The radius \(r\) of a sphere is half of the diameter \(d\). Given \(d = 12\) meters, so \(r=\frac{d}{2}=\frac{12}{2}=6\) meters.

Step2: Use the volume formula for a sphere

The volume formula of a sphere is \(V=\frac{4}{3}\pi r^{3}\). Substitute \(r = 6\) into the formula:

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Answer:

\(288\pi\)